113968896 has 72 divisors (see below), whose sum is σ = 313173504. Its totient is φ = 36756480.

The previous prime is 113968873. The next prime is 113968909. The reversal of 113968896 is 698869311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21415 + ... + 26201.

It is an arithmetic number, because the mean of its divisors is an integer number (4349632).

Almost surely, 2^113968896 is an apocalyptic number.

113968896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113968896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156586752).

113968896 is an abundant number, since it is smaller than the sum of its proper divisors (199204608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113968896 is an equidigital number, since it uses as much as digits as its factorization.

113968896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4837 (or 4823 counting only the distinct ones).

The product of its digits is 559872, while the sum is 51.

The square root of 113968896 is about 10675.6215744096. The cubic root of 113968896 is about 484.8366559437.

The spelling of 113968896 in words is "one hundred thirteen million, nine hundred sixty-eight thousand, eight hundred ninety-six".